Differential Equations & Its Applications 

  News

• Member of the National Academy of Sciences, India (NASI)

• Appeared in the top 2% of scientists in the global ranking worldwide list of 2025, prepared by Stanford University and Elsevier

• Appeared in the top 2% of scientists in the global ranking worldwide list of 2024, prepared by Stanford University and Elsevier

• Excellence in Teaching Award Given by IIT Mandi, 2025

• Excellence in Teaching Award Given by IIT Mandi, 2024 

• Chairperson, SMSS IIT Mandi, July 2022 - July 2024.

• NBHM Postdoctoral Fellow, IISc Bangalore, 2006-2008

• Postdoctoral Fellow, CMM Santiago, Chile, 2008-2010

• PhD, IIT Kanpur, 2001-2006.

• 10 PhD Students Graduated Since 2014

• Current PhD Students: 8

• Over 150 Publications in Reputed Journals

• Organised Two International Conferences and Several Workshops

• Organised a few MTTS Programs

• Dr Bhim Kumar, a former PhD student, was awarded a Humboldt Research Fellowship 

• Dr Santosh Ruhil, a former PhD student, was awarded an NBHM Postdoctoral Fellowship

• Dr Vipin Kumar, a former PhD student and currently Assistant Professor at NIT Jalandhar, was awarded a Raman Charpak Fellowship

• Dr Vipin Kumar, a former PhD student, was awarded a Postdoctoral Fellowship at the Max Planck Institute, Germany

          Selected Publications

1. B. Verma, Malik M. and A. Tridane (2026); Controllability and Structural Controllability of Discrete-time Leader-Follower Switching Descriptor System; IEEE Transactions on Automatic Control.

2. Kumar, B., & Malik, M. (2026). Finite-time stability and stabilization of positive switched delay systems with non-instantaneous impulses on time scales and applications to multi-agent systems. Nonlinear Analysis: Hybrid Systems, 59, 101643.

3. Carlos Conca, M. Muslim and Alexandre Munnier, On the detection of a moving rigid solid in a perfect fluid, Inverse Problem, 26(2010) 095010.

4. M. Muslim, Approximation of second-order nonlinear differential equation with deviated argument, Applied Mathematics and Computation, Vol. 329 (2018), 315 -- 324.

5. M. Muslim, Approximation of Solutions to History-valued Neutral Functional  Differential Equations, Computers and Mathematics with Applications, Vol.  51, Issue 3-4 (2006), 537-550.

6. Ruhil, S., and Malik, M. Approximation Results for Abstract Inverse Problem to Impulsive Differential Equation. Discrete and Continuous Dynamical Systems - Series S, 2024.

7. Verma, B., and Malik, M. Controllability results of discrete boundary control system in Banach spaces. Journal of Difference Equations and Applications, 1-9, 2024.

8. Dhayal R, Malik M, Abbas S., Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses. International Journal of Control. 2021 Jan 13:1-2.

9. Malik, Muslim, and Vipin Kumar. Existence, stability and controllability results of a Volterra integro-dynamic system with non-instantaneous impulses on time scales. IMA Journal of Mathematical Control and Information 37, no. 1 (2020): 276-299.

10.  Ruhil, S., Malik, M., Inverse problem for abstract delay differential equation with impulsive effects. Evolution Equations and Control Theory, 0-0, 2024.

11. S. Ruhil, M. Malik, Results on inverse problem for abstract semilinear differential inclusions. Journal of Inverse and Ill-Posed Problems (2025) 33(6), 735-748. .